30×·15=4.50
then subtract 30 by 4.50 to get 25.50
.0825×30=2.475
now add 2.475+25.50+30= 57.975 round to 57.98
Answer:
<u><em>(x+2)^2 + (y-6)^2 = 41</em></u>
Step-by-step explanation:
The equation for a circle is (x-h)^2+(y-k)^2=r^2
So first, it is known that the circle's center is at (-2,6), Therefore, this can be filled in:
(x+2)^2+(y-6)^2=r^2
Next, we need to find the radius, and one of the points is already known, being (-6, 1)
With this, find the distance between these two points by doing the Pythagorean Theorem, a^2+b^2=c^2. The a^2 would be the x value changed and the b^2 would be the y value changed between the two numbers. Note that this is interchangeable.
To find a:
-2 to -6 = change of 4
To find b:
6 to 1 = change of 5
Next, write out the equation for this:
4^2+5^2=c^2
16+25=c^2
41=c^2
c = √41
The radius would be √41, so the equation can now be completed. Since c will be brought to the second power, this will cancel out the square root.
(x+2)^2 + (y-6)^2 = 41
Hope that helps.
Answer:
Step-by-step explanation:
As the the length of the segments BC = AC, so the triangle ABC must be an isosceles triangle.
As CD ⊥ AB, it means the base AB gets bisected by CD, making two congruent angles named as ∠ACD and ∠BCD. As shown in attached figure.
CD bisecting the base AB into two equal parts means if AB = 4, then
the length of AD = 2 and the length of DB = 2. Hence, AD = DB
As BC = AC, it means these two equal sides of isosceles triangle would make equal angles on the opposite side. Hence, angle ∠A and ∠B would be equal as shown in attached figure.
As CD is bisecting the base AB into two equal parts. Hence, it can be treated as the part of two right triangles named ACD and BCD.
So, the length of AC can be easily determined using using the Pythagoras formula.
So,
c² = a² + b²




Hence
Keywords: isosceles triangle, hypotenuse, hypotenuse
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Is there more to the question or actual prices give? It is obvious that there is a 10 year gap but it isn’t clear what you are looking for.. if you update, I can’t try to help further! (:
The slope is -3/5.
The equation is in slope intercept form,
y= mx + b, where m is the slope.